He manager at a coffee stand keeps track of the number of cups of coffee and cups of tea sold each day and the total money received. on friday, a total of 55 cups were sold, and the money collected was $235. if cups of coffee are sold for $5 and cups of tea are sold for $3, how many cups of coffee and cups of tea were sold?

35 cups of tea were sold and 20 cups of coffee were sold.

Step-by-step explanation:

We could put all of this information into a system of two equations. Lets make the variable t equal to the cups of tea sold and the variable c equal to the cups of coffee sold.

The equations are:

t + c = 55

5t + 3c = 235

There are many ways to solve for t and c at this point, but I am going to use the method of solving by substitution.

We can change the equation t + c = 55 into t = 55 - c. We can plug 55 - c in for t in the equation 5t + 3c = 235:

5(55 - c) + 3c = 235

Now solve for c. Distribute the 5 in 5(55 - c).

5(55) - 5c + 3c = 235

Simplify.

275 - 2c = 235

Subtract 275 from both sides of the equation.

275 - 2c - 275 = 235 - 275

Simplify.

-2c = -40

Divide -2 from both sides.

-2c ÷ (-2) = -40 ÷ (-2)

Simplify.

c = 20

So now we know that c = 20, so the cups of coffee sold is 20. Now we have to find the cups of tea sold. We can do this by plugging 20 for c in the equation t + c = 55:

t + 20 = 55

Solve for t. Subtract 20 from both sides.

t + 20 - 20 = 55 - 20

Simplify.

t = 35

So now we know that the cups of tea sold is 45.

35 cups of tea were sold and 20 cups of coffee were sold.

I hope you find this helpful. If you need clarifications on anything, feel free to ask me. Happy studying. :)

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

i wish i could you, i have no idea how to answer this

step-by-step explanation: